Wolff potential estimates of superminimizers of Orlicz type Dirichlet integrals View Full Text


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Article Info

DATE

2003-04

AUTHORS

Jan Malý

ABSTRACT

If u is a minimizer of ∫ΩF(|∇u|)dx−∫Ωudμ, then the pointwise estimate \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\end{document} can be reached. This results is obtained for a Young function F with the global Δ2 & ∇2 property. Links to applications to real analysis are given.

PAGES

513-525

References to SciGraph publications

  • 1994-12. Local boundedness of minimizers of integrals of the calculus of variations in ANNALI DI MATEMATICA PURA ED APPLICATA (1923 -)
  • 1987-06. Growth conditions and regularity, a counterexample in MANUSCRIPTA MATHEMATICA
  • 1989-09. Regularity of minimizers of integrals of the calculus of variations with non standard growth conditions in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 1999-09. On functions with derivatives in a Lorentz space in MANUSCRIPTA MATHEMATICA
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s00229-003-0358-4

    DOI

    http://dx.doi.org/10.1007/s00229-003-0358-4

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1016871864


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